{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 一.原理\n",
    "\n",
    "对于上一节的HBOS，我想到一个问题，那就是计算的异常值没有去掉相关性，如果某几个因子高度相关，那么HBOS异常值其实会对这部分重复计算，所以这里想到了利用PCA的思路先对数据去相关性，然后再求直方图概率，介绍如下（图片来源:https://zhuanlan.zhihu.com/p/46626607）  \n",
    "\n",
    "（1）原始数据：如下的原始点$A$和$B$，虽然它们都是离群点，但$B$点更像是在数据分布的趋势上（服从$y=x$），所以，我们期望$A$的异常值能比$B$更高\n",
    "\n",
    "![avatar](./source/20_phbos_01.png)\n",
    "\n",
    "但是在计算HBOS值时，我们是对$x$轴和$y$轴进行等距划分，然后计算直方图概率，所以，这其实会使得$A$和$B$点在$x$轴和$y$轴上的直方图概率分布差异不大（还请自行脑补），为了扩大差异，可以将原始数据转换到主成分坐标轴上来表示。  \n",
    "\n",
    "（2）PCA后的数据：如下，经过将数据投影到主成分方向上，$A$的异常值会明显高于$B$，因为在$y$轴上做等距切分，$A$点的直方概率远低于$B$点\n",
    "\n",
    "![avatar](./source/20_phbos_02.png)  \n",
    "\n",
    "### 二.代码实现\n",
    "其实就是之前的PCA+HBOS，我这里给它们组合了一个新名：pHBOS，同样地，代码放在ml_models.outlier_detect"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "os.chdir('../')\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "from sklearn.datasets import make_classification\n",
    "from ml_models.outlier_detect import pHbos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#造数据\n",
    "X, _ = make_classification(n_samples=1000, n_features=2,\n",
    "                           n_informative=2, n_redundant=0,\n",
    "                           n_repeated=0, n_classes=3,\n",
    "                           n_clusters_per_class=1, weights=[0.01, 0.05, 0.94],\n",
    "                           class_sep=0.8, random_state=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#训练\n",
    "hbos = pHbos(thresh=0.05)\n",
    "y = hbos.fit_transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x=X[:, 0], y=X[:, 1], c=y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 对比一下之前的hbos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from ml_models.outlier_detect import HBOS\n",
    "hbos = HBOS(thresh=0.05)\n",
    "y = hbos.fit_transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x=X[:, 0], y=X[:, 1], c=y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
